# Seminars & Colloquia Calendar

## The Radiative Uniqueness Conjecture for Bubbling Wave Maps

#### Casey Rodriguez, MIT

Location: ** Hill 705**

Date & time: Friday, 24 January 2020 at 2:00PM - 3:00PM

Abstract. One of the most fundamental questions in partial dif-

ferential equations is that of regularity and the possible breakdown of

solutions. We will discuss this question for solutions to a canonical ex-

ample of a geometric wave equation; energy critical wave maps. Break-

through works of Krieger-Schlag-Tataru, Rodnianski-Sterbenz and

Rapha ?el-Rodnianski produced examples of wave maps that develop sin-

gularities in finite time. These solutions break down by concentrating

energy at a point in space (via bubbling a harmonic map) but have a

regular limit, away from the singular point, as time approaches the final

time of existence. The regular limit is referred to as the radiation. This

mechanism of breakdown occurs in many other PDE including energy

critical wave equations, Schr ?odinger maps and Yang-Mills equations.

A basic question is the following:

R. Shapiro Organizer's Page

Charles Weibel Organizer's Page

Brooke Logan

Wujun Zhang Organizer's webpage

P. Gupta, X.Huang and J. Song Organizer's webpage

Swastik Kopparty, Sepehr Assadi Seminar webpage

Jeffry Kahn, Bhargav Narayanan, Jinyoung Park Organizer's webpage

Yonah Biers-Ariel, Mingjia Yang, and Doron Zeilberger --> homepage

Paul Feehan, Manousos Maridakis, Natasa Sesum Organizer's webpage

Lev Borisov, Emanuel Diaconescu, Angela Gibney, Nicolas Tarasca, and Chris Woodward Organizer's webpage

Jason Saied Seminar webpage

Brian Pinsky, Rashmika Goswami website

Corrine Yap Organizer's webpage

James Holland; Organizer website

Edna Jones Organizer's webpage

Brooke Ogrodnik website

Yanyan Li, Zheng-Chao Han, Jian Song, Natasa Sesum

Organizer: Luochen Zhao

Yanyan Li, Zheng-Chao Han, Natasa Sesum, Jian Song

Lisa Carbone, Yi-Zhi Huang, James Lepowsky, Siddhartha Sahi Organizer's webpage

Simon Thomas website

Kasper Larsen, Daniel Ocone and Kim Weston Organizer's page

Joel Lebowitz, Michael Kiessling

Yanyan Li, Haim Brezis

Stephen D. Miller, John C. Miller, Alex V. Kontorovich, Alex Walker seminar website

Stephen D. Miller

Organizers: Yanyan Li, Z.C. Han, Jian Song, Natasa Sesum

Yael Davidov Seminar webpage

Kristen Hendricks, Xiaochun Rong, Hongbin Sun, Chenxi Wu Organizer's page

Ebru Toprak, Organizer

Fioralba Cakoni Seminar webpage

Organizer: Vladimir Retakh Organizer's webpage

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